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Finding the Fourth Proportional to 17,790.30, 24,551.06 and 9,832.64

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Solution

The fourth proportional to 17,790.30, 24,551.06 and 9,832.64 is: 13,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790.30 : 24,551.06 = 9,832.64 : x
  2. Step 2: Convert to fraction form
    17,790.30/24,551.06 = 9,832.64/x
  3. Step 3: Cross multiply
    17,790.30x = 24,551.06 × 9,832.64
  4. Step 4: Simplify right side
    17,790.30x = 241,401,562.68
  5. Step 5: Solve for x
    x = 241,401,562.68/17,790.30
  6. Step 6: Final answer
    x = 13,569.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.